Fund Project:Supported by the Natural Science Foundation of Guizhou Province (Grant No.[2011]2093) and the Natural Science Research Foundation of Guizhou Provincial Education Department (Grant No.2008072).
In this paper, a new Ky Fan matching theorem is established in noncompact L-convex spaces. As applications, a fixed point theorem and equilibrium existence theorems for systems of general quasiequilibrium problems and systems of quasiequilibrium problems in noncompact L-convex spaces are obtained.